REVIEW 3 cited by
Dynamical realizations of the Lifshitz group
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Dynamical realizations of the Lifshitz group
read the original abstract
Dynamical realizations of the Lifshitz group are studied within the group-theoretic framework. A generalization of the 1d conformal mechanics is constructed, which involves an arbitrary dynamical exponent z. A similar generalization of the Ermakov-Milne-Pinney equation is proposed. Invariant derivative and field combinations are introduced, which enable one to construct a plethora of dynamical systems enjoying the Lifshitz symmetry. A metric of the Lorentzian signature in (d+2)-dimensional spacetime and the energy-momentum tensor are constructed, which lead to the generalized Ermakov-Milne-Pinney equation upon imposing the Einstein equations. The method of nonlinear realizations is used for building Lorentzian metrics with the Lifshitz isometry group. In particular, a (2d+2)-dimensional metric is constructed, which enjoys an extra invariance under the Galilei boosts.
Forward citations
Cited by 3 Pith papers
-
Perfect fluid equations with nonrelativistic conformal supersymmetries
Constructs supersymmetric perfect fluid equations for N=2 conformal Newton-Hooke and N=1 l-conformal Galilei superalgebras using Hamiltonian methods with anticommuting superpartner fields for density and velocity.
-
Perfect fluid equations with nonrelativistic conformal symmetry: Exact solutions
Exact solutions to perfect fluid equations are built via invariance under Schrödinger, l-conformal Galilei, or Lifshitz groups, producing Bjorken-like velocity fields with tunable high-density peaks.
-
On the instability of some upward propagating, exact, nonlinear mountain waves
Exact dry-adiabatic mountain waves are linearly unstable for steepness above 1/3, with an unstable layer beneath the tropopause.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.